Production and Decay of $\eta$ and $\omega$ Mesons in the Reaction ${\pi }^{+}d\to \mathrm{}\left(p\right)p{\pi }^{+}{\pi }^{-}{\pi }^0$ between 1.1 and 2.4 GeV/c

The reaction ${\pi }^{+}d\to \mathrm{}\left(p\right)p{\pi }^{+}{\pi }^{-}{\pi }^0$ has been studied in a bubble-chamber experiment with pion beam momentum between 1.1 and 2.4 GeV/c; the exposure size was 14 events/μb. The most significant features of the final state are production and decay of $\eta$ and $\omega$ mesons in the reactions ${\pi }^{+}n\to \eta p$ and ${\pi }^{+}n\to \omega p$. The $\eta$-production characteristics are well described by a Reggeized $A_2$-exchange model using Veneziano-type residue functions. The $\omega$ production and decay characteristics are presented, and it is found that a $\rho$-exchange model with absorptive corrections is inadequate to describe these data.